Diffusion weighted imaging (DWI) is used to study white-matter fibre organisation, orientation and structural connectivity by means of fibre reconstruction algorithms and tractography. For clinical settings, limited scan time compromises the possibilities to achieve high image resolution for finer anatomical details and signal-to-noise-ratio for reliable fibre reconstruction. We assessed the po...

In this study we define the continuous height function to investigate the approximation of an interface line and its geometrical properties with the height function method. We show that in each mixed cell the piecewise linear interface reconstruction and the approximation of the derivatives and curvature based on three consecutive height function values are second-order accurate. We also discus...

Delay selection for time series phase space reconstruction may be performed using a mutual information (MI) criterion. However, the delay selection is in that case limited to the estimation of a single delay using MI between two variables only. A high-dimensional estimator of the MI may be used to select more than one delay between more than two variables but this approach is rather time consum...

The present paper deals with the continuous work of extending the application of a multidimensional-type solution reconstruction and limiting procedure into the finite volume (FV) computation of 2D compressible flows. Based on a MUSCL-type technique, this reconstruction procedure identifies and cures poor connected grids without suffering from loss of accuracy by taking into account geometrical...

One of the challenges of Volume Modelling is the definition of theoretical frameworks to support object manipulation and representation. Opposite to what is seen in the field of surface modelling, few satisfactory tools have been presented that ensure topological robustness to volumetric models. In this paper we offer one such mathematical framework for volumetric model definition based on tetr...

Decomposing a shape into visually meaningful parts comes naturally to humans, but recreating this fundamental operation in computers has been shown to be difficult. Similar challenges have puzzled researchers in shape reconstruction for decades. In this paper, we recognize the strong connection between shape reconstruction and shape decomposition at a fundamental level and propose a method call...

This paper, deals with detecting and identifying unknown scatters (e.g., obstacles) in an elastic background solid through the use of elastic illuminating waves. In this regards, the Linear Sampling Method (LSM) for the reconstruction of the underground obstacles from near-field surface seismic measurements in the time domain is explained. The LSM is an effective approach to image the geometric...

The Medipix All Resolution System (MARS) system is a commercial spectral/multi-energy micro-CT scanner designed and assembled by the MARS Bioimaging, Ltd. in New Zealand. This system utilizes the state-of-the-art Medipix photon-counting, energy-discriminating detector technology developed by a collaboration at European Organization for Nuclear Research (CERN). In this paper, we report our preli...

Methods of fracture surface 3D reconstruction from a series of partially focused images acquired in a small field of view (e.g., by confocal microscope or CCD camera) are well known. In this case, projection rays can be considered parallel and recorded images do not differ in any geometrical transformation from each other. In the case of larger samples (oversized for microscope or CCD camera), ...

This paper presents a new 3D scene analysis system that automatically reconstructs the 3D geometric model of realworld scenes from multiple range images acquired by a Laser Range Finder on board of a mobile robot. The reconstruction is achieved through an integrated procedure including range data acquisition, geometrical feature extraction, registration and integration of multiple views. Differ...